Engineering
Physics
Stress Strain and Hookes Law New
Question

Figure, shows how the potential energy V for two neighbouring atoms varies with their separation r. Which statement is correct?

the slope of the curve at Z is related to Hooke's law

the force between atoms is repulsive for separation greater than OY

the atoms are in equilibrium at separation OX

the force between atoms is repulsive for separation less than OY

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution

The potential energy V(r) curve shows interaction between two atoms. The force F is related to V by F = -dV/dr. At equilibrium separation, F=0 (dV/dr=0), which occurs at point Y, not X. For r < OY, the slope dV/dr is positive, so F is negative (attractive). For r > OY, slope is negative, so F is positive (repulsive). Hooke's law relates to small displacements near equilibrium (Y), not point Z.

Final answer: the force between atoms is repulsive for separation greater than OY